论文标题

关于参数化的黑洞准响声形式主义的注意

Note on the parametrized black hole quasinormal ringdown formalism

论文作者

Kimura, Masashi

论文摘要

如果黑洞的重力扰动的主方程与Regge-Wheeler或Zerilli方程的偏差很小,那么参数化的黑洞准响声形式主义对于计算准模式(QNM)频率很有用。在这种形式主义中,可以通过小偏差参数和模型独立系数来计算QNM频率与一般相对性的偏差。在本文中,我们得出了模型独立系数的递归关系。使用这些关系,高阶系数仅由低阶系数编写。因此,只有在数值计算模型独立系数时,我们只需要较低的系数。

The parametrized black hole quasinormal ringdown formalism is useful to compute quasinormal mode (QNM) frequencies if a master equation for the gravitational perturbation around a black hole has a small deviation from the Regge-Wheeler or Zerilli equation. In this formalism, the deviation of QNM frequency from general relativity can be calculated by small deviation parameters and model independent coefficients. In this paper, we derive recursion relations for the model independent coefficients. Using these relations, the higher order coefficients are written only by the lower order coefficients. Thus, we only need the lower order coefficients when we numerically compute the model independent coefficients.

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